4064497984800 has 576 divisors, whose sum is σ = 16050416457600. Its totient is φ = 984465100800.

The previous prime is 4064497984759. The next prime is 4064497984823. The reversal of 4064497984800 is 84897944604.

4064497984800 is a `hidden beast` number, since 4 + 0 + 64 + 4 + 9 + 7 + 98 + 480 + 0 = 666.

4064497984800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4064497984800² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 293904286 + ... + 293918114.

It is an arithmetic number, because the mean of its divisors is an integer number (27865306350).

Almost surely, 2^{4064497984800} is an apocalyptic number.

4064497984800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4064497984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8025208228800).

4064497984800 is an abundant number, since it is smaller than the sum of its proper divisors (11985918472800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4064497984800 is a wasteful number, since it uses less digits than its factorization.

4064497984800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15106 (or 15087 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 4064497984800 in words is "four trillion, sixty-four billion, four hundred ninety-seven million, nine hundred eighty-four thousand, eight hundred".